(8x-4)(6x+3)=0

Solution for (8x-4)(6x+3)=0 equation:

Simplifying
(8x + -4)(6x + 3) = 0

Reorder the terms:
(-4 + 8x)(6x + 3) = 0

Reorder the terms:
(-4 + 8x)(3 + 6x) = 0

Multiply (-4 + 8x) * (3 + 6x)
(-4(3 + 6x) + 8x * (3 + 6x)) = 0
((3 * -4 + 6x * -4) + 8x * (3 + 6x)) = 0
((-12 + -24x) + 8x * (3 + 6x)) = 0
(-12 + -24x + (3 * 8x + 6x * 8x)) = 0
(-12 + -24x + (24x + 48x2)) = 0

Combine like terms: -24x + 24x = 0
(-12 + 0 + 48x2) = 0
(-12 + 48x2) = 0

Solving
-12 + 48x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + 12 + 48x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 48x2 = 0 + 12
48x2 = 0 + 12

Combine like terms: 0 + 12 = 12
48x2 = 12

Divide each side by '48'.
x2 = 0.25

Simplifying
x2 = 0.25

Take the square root of each side:
x = {-0.5, 0.5}